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Finding the Third Proportional to 5,307,309 and 7,952,629.50

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Solution

The third proportional to 5,307,309 and 7,952,629.50 is: 11,916,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,309 : 7,952,629.50 = 7,952,629.50 : x
  2. Step 2: Convert to fraction form
    5,307,309/7,952,629.50 = 7,952,629.50/x
  3. Step 3: Cross multiply
    5,307,309x = 7,952,629.50 × 7,952,629.50
  4. Step 4: Simplify right side
    5,307,309x = 63,244,315,964,270.25
  5. Step 5: Solve for x
    x = 63,244,315,964,270.25/5,307,309
  6. Step 6: Final answer
    x = 11,916,456.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.